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Finding the Third Proportional to 144,063,511 and 315,449,294

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Solution

The third proportional to 144,063,511 and 315,449,294 is: 690,724,919.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,063,511 : 315,449,294 = 315,449,294 : x
  2. Step 2: Convert to fraction form
    144,063,511/315,449,294 = 315,449,294/x
  3. Step 3: Cross multiply
    144,063,511x = 315,449,294 × 315,449,294
  4. Step 4: Simplify right side
    144,063,511x = 99,508,257,085,098,432
  5. Step 5: Solve for x
    x = 99,508,257,085,098,432/144,063,511
  6. Step 6: Final answer
    x = 690,724,919.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.